What is the Greatest Common Factor of 34140 and 34152?

Greatest common factor (GCF) of 34140 and 34152 is 12.

GCF(34140,34152) = 12

We will now calculate the prime factors of 34140 and 34152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34140 and 34152.

How to find the GCF of 34140 and 34152?

We will first find the prime factorization of 34140 and 34152. After we will calculate the factors of 34140 and 34152 and find the biggest common factor number .

Step-1: Prime Factorization of 34140

Prime factors of 34140 are 2, 3, 5, 569. Prime factorization of 34140 in exponential form is:

34140 = 2² × 3¹ × 5¹ × 569¹

Step-2: Prime Factorization of 34152

Prime factors of 34152 are 2, 3, 1423. Prime factorization of 34152 in exponential form is:

34152 = 2³ × 3¹ × 1423¹

Step-3: Factors of 34140

List of positive integer factors of 34140 that divides 34140 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 569, 1138, 1707, 2276, 2845, 3414, 5690, 6828, 8535, 11380, 17070

Step-4: Factors of 34152

List of positive integer factors of 34152 that divides 34140 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1423, 2846, 4269, 5692, 8538, 11384, 17076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34140 and 34152. The biggest common factor number is the GCF number.
So the greatest common factor 34140 and 34152 is 12.

Also check out the Least Common Multiple of 34140 and 34152